Cumulative spectral decay of a loudspeaker showing the transient behavior.

The structural dynamics of thin films consisting of tricarbonyl (1,10-phenanthroline)rhenium chloride (RePhen(CO)(3)Cl) linked to an alkyl silane monolayer through a triazole linker synthesized on silica-on-calcium-fluoride substrates are investigated using ultrafast infrared (IR) techniques. Ultrafast 2D IR vibrational echo experiments and polarization selective heterodyne detected transient g...

Abstract. Identification of a large-amplitude Alfvén wave decaying into pair ion-acoustic and daughter waves is one the major goals in observational studies space plasma nonlinearity. In this study, decay instability analytically evaluated 2-D wavenumber domain spanning parallel perpendicular directions to mean magnetic field. The growth-rate determination density perturbations based on Hall MH...

For random Schrödinger operators, and a more general class of operators with random potentials of ‘regular’ probability distributions, we present a family of constructive criteria for the localization regime. A technically convenient characterization of localization is rapid decay of the Green function’s fractional moments. In addition to explicit bounds, the constructive criteria indicate that...

AMS 1991 subject classifications: primary 62G07 secondary 62M10 Keywords: Spatial long memory Local Whittle method a b s t r a c t A local Whittle estimator is developed to simultaneously estimate the long memory parameters for stationary anisotropic scalar random fields. It is shown that these estimators are consistent and asymptotically normal, under some weak technical conditions. A brief si...

The spectral k-support norm enjoys good estimation properties in low rank matrix learning problems, empirically outperforming the trace norm. Its unit ball is the convex hull of rank k matrices with unit Frobenius norm. In this paper we generalize the norm to the spectral (k, p)support norm, whose additional parameter p can be used to tailor the norm to the decay of the spectrum of the underlyi...

Determining the spectral density of a molecular system immersed in a proteomic scaffold and in contact to a solvent is a fundamental challenge in the coarse-grained description of, e.g., electron and energy transfer dynamics. Once the spectral density is characterized, all the time scales are captured and no artificial separation between fast and slow processes need to be invoked. Based on the ...

Spectral theory and classical approximation theory are used to give a new proof of the exponential decay of the entries of the inverse of band matrices. The rate of decay oí A'1 can be bounded in terms of the (essential) spectrum of A A* for general A and in terms of the (essential) spectrum of A for positive definite A. In the positive definite case the bound can be attained. These results are...